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# Two ships leave port at the same time. Ship A sails north at a speed of 30 mph while ship...

Two ships leave port at the same time. Ship A sails north at a speed of 30 mph while ship B sails east at a speed of 55 mph. (a) Find an expression in terms of the time t (in hours) giving the distance between two ships.

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# xxxxxx

xxxxxxxxxxxxxxxxxxxxData: | x | ||||

Speed of ship A | xx | xxx | |||

Speed xx xxxx x | 55 | mph | |||

30 | t | xx | |||

b | xx | t | x | ||

xxxxxxxxx | |||||

In general speed = distance x time xxx | |||||

xxxxxxxxxx distance covered xx xxxxx direction = xxx | |||||

xxx distance covered xx xxxx direction = 55t | |||||

We xxx xxxx the distance xxxxxxx point a and c by xxxxx xxxxxxxxxx xxxxxx | |||||

Hypotneuse(h)2 x xxxxxxxx + perpendicular (p)2 | |||||

xxxxxxxx xxxxxxx A and x = xx | = xxxx x xxxx | ||||

xxx | xxx | xx | x | xxxx | xx |

xx = | xxxx | x | h2 | ||

x x | SQRT(3925 x xxx |

# xxxxxx

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Two ships xxxxx xxxx xx xxx xxxx time. xxxx A sails xxxxx xx x speed xx xx xxx while xxxx x sails xxxx xx a xxxxx xx xx mph. (a) xxxx an xxxxxxxxxx xx xxxxx xx the xxxx t xxx hours) giving xxx xxxxxxxx between xxx xxxxxx

xxxxxxxxx (55mph)

xxxxxxxxx North xx xxxx

xx one hour x the east xxxx xxxx xxxxx xx miles xxx xxx xxxxx xxxx will cover 30 xxxx

xxxx is a xxxxx xxxxxx triangle xx

h2 = xx x xx

h = √ xxx x xxx

x x √ xxx x xxxxx √xxxx = 62.65 xxxxx

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xxx ships leave port xx xxx xxxx time. Ship A xxxxx north at x speed xx xx xxx xxxxx xxxx B xxxxx east at a xxxxx xx xx mph. (a) xxxx an xxxxxxxxxx xx xxxxx of the time t xxx xxxxxx xxxxxx xxx distance xxxxxxx two ships.

x

xxxx A

xx xxx x = sqrt xxxx x B^2)

x

B E

Ship x – 55 mph x

xx time t (hours) Ship x xxxx xxxxx the distance A = speed xx xxxx A x time x xxxx xxxxx

And xxxx B xxxx the cover xxx distance xx time t x B = speed of xxxx x x time x 55 * x xxxxx

xx xxxxxxxxx xxxxx distance A and distance x are two xxxxx xx xxxxxxxx with xxxxx xx degree

This distance between xxxx xxxx be x

xxx = xxx x xxx = (30*t)^2 + (55*t)^2 x 30^2 * xxx x 55^2*t^2 = xxxxxxx + 55 x t^2 x xxxx xxxx + xxxxx = xxx x 3925

x = Sqrt (t^2 x 3925) x x * xxxx xxxxxx x x x sqrt xxx x 25 * 55) x 25 * t * xxxx 55= 25 x 7.42 * t = xxxxx * t

xx xxxxx t hours, distance xxxxxxx xxx xxxxx will be xxxxx * t xxxxx

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## 62.649 * t mile. Where 't' is time in Hrs.

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